Asked by Florence
3 log in base 5 0.20
Answers
Answered by
oobleck
0.20 = 1/5 = 5^-1
log_5(5^-1) = -1
so, 3log_5(0.20) = -3
it helps to recall that for any base b,
log<sub><sub>b</sub></sub>b<sup><sup>x</sup></sup> = x
b<sup><sup>log<sub><sub>b</sub></sub>x</sup></sup> = x
log_5(5^-1) = -1
so, 3log_5(0.20) = -3
it helps to recall that for any base b,
log<sub><sub>b</sub></sub>b<sup><sup>x</sup></sup> = x
b<sup><sup>log<sub><sub>b</sub></sub>x</sup></sup> = x
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